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Finding the Third Proportional to 1,231,579.69 and 1,961,202.38

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Solution

The third proportional to 1,231,579.69 and 1,961,202.38 is: 3,123,074.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231,579.69 : 1,961,202.38 = 1,961,202.38 : x
  2. Step 2: Convert to fraction form
    1,231,579.69/1,961,202.38 = 1,961,202.38/x
  3. Step 3: Cross multiply
    1,231,579.69x = 1,961,202.38 × 1,961,202.38
  4. Step 4: Simplify right side
    1,231,579.69x = 3,846,314,755,705.64
  5. Step 5: Solve for x
    x = 3,846,314,755,705.64/1,231,579.69
  6. Step 6: Final answer
    x = 3,123,074.21

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.